Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-01-29
JCAP 0303 (2003) 001
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
some misprints are corrected and references are added, final version to appear in JCAP
Scientific paper
10.1088/1475-7516/2003/03/001
The quasi-isotropic inhomogeneous solution of the Einstein equations near a cosmological singularity in the form of a series expansion in the synchronous system of reference, first found by Lifshitz and Khalatnikov in 1960, is generalized to the case of a two-fluid cosmological model. This solution describes non-decreasing modes of adiabatic and isocurvature scalar perturbations and gravitational waves in the regime when deviations of a space-time metric from the homogeneous isotropic Friedmann-Robertson-Walker (FRW) background are large while locally measurable quantities like Riemann tensor components are still close to their FRW values. The general structure of the perturbation series is presented and the first coefficients of the series expansion for the metric tensor and the fluid energy densities and velocities are calculated explicitly.
Kamenshchik Alexander Yu.
Khalatnikov Isaac M.
Martellini Maurizio
Starobinsky Alexei A.
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